Sharp approximations to the Bernoulli periodic functions by trigonometric polynomials

We obtain optimal trigonometric polynomials of a given degree N that majorize, minorize and approximate in L1(R/Z) the Bernoulli periodic functions. These are the periodic analogues of two works of F. Littmann ([6] and [7]) that generalize a paper of J. Vaaler ([11]). As applications we provide the corresponding Erd

• Type: Journal
• Year: 2008
• Where: JAT
• Authors: Emanuel Carneiro
• Keywords: Bernoulli Periodic Functions, JAT 2008, Optimal Trigonometric Polynomials, Periodic Functions